144261532032 has 128 divisors (see below), whose sum is σ = 393034723200. Its totient is φ = 46855311360.

The previous prime is 144261532021. The next prime is 144261532043. The reversal of 144261532032 is 230235162441.

It is an interprime number because it is at equal distance from previous prime (144261532021) and next prime (144261532043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×144261532032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144261531984 and 144261532002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13518763 + ... + 13529429.

It is an arithmetic number, because the mean of its divisors is an integer number (3070583775).

Almost surely, 2^144261532032 is an apocalyptic number.

144261532032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144261532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196517361600).

144261532032 is an abundant number, since it is smaller than the sum of its proper divisors (248773191168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144261532032 is a wasteful number, since it uses less digits than its factorization.

144261532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 144261532032 its reverse (230235162441), we get a palindrome (374496694473).

The spelling of 144261532032 in words is "one hundred forty-four billion, two hundred sixty-one million, five hundred thirty-two thousand, thirty-two".